Abstract We present several families of exact solutions to a system of coupled nonlinear Schr?dinger equations. The model describes a binary mixture of two Bose--Einstein condensates in a magnetic trap potential. Using a mapping deformation method, we find exact periodic wave and soliton solutions, including bright and dark soliton pairs.
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
Fund: Project supported by the
National Natural Science Foundation of China(Grant Nos 10575087
and 10302018), and the Natural Science Foundation of Zhejiang
Province, China (Grant No Y605056).
Cite this article:
Li Hua-Mei (李画眉) Exact periodic wave and soliton solutions in two-component Bose--Einstein condensates 2007 Chinese Physics 16 3187
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